2173504000 has 80 divisors (see below), whose sum is σ = 5419927656. Its totient is φ = 869376000.

The previous prime is 2173503989. The next prime is 2173504007. The reversal of 2173504000 is 4053712.

It can be written as a sum of positive squares in 4 ways, for example, as 179345664 + 1994158336 = 13392^2 + 44656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2173504007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47020 + ... + 80980.

Almost surely, 2^2173504000 is an apocalyptic number.

2173504000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2173504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709963828).

2173504000 is an abundant number, since it is smaller than the sum of its proper divisors (3246423656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2173504000 is an frugal number, since it uses more digits than its factorization.

2173504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33994 (or 33968 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2173504000 is about 46620.8537030372. The cubic root of 2173504000 is about 1295.3490609056.

Adding to 2173504000 its reverse (4053712), we get a palindrome (2177557712).

The spelling of 2173504000 in words is "two billion, one hundred seventy-three million, five hundred four thousand".